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Year 8 Maths • AC9M8ST01 • Authored homework

Data collection and sampling

Practise Data collection and sampling through calculations, explanation, modelling and checking. Show reasoning in full sentences where useful, and check calculations or conclusions before finishing.

10
Short-answer questions
10
Long-answer questions
1
Research/application task

Part A

Short-answer questions

  1. Identify the population and sample for a survey of 40 Year 8 students.

  2. Classify a census, random sample and convenience sample.

  3. Write one unbiased survey question about screen time.

  4. A student surveys only their friends and claims it represents the school. Explain the problem.

  5. Write the rule or formula most useful for Data collection and sampling.

  6. Show how to check one answer using estimation, substitution or inverse operations.

  7. Write one common mistake students make in Data collection and sampling and correct it.

  8. Create a small table, diagram or equation that represents this topic.

  9. State where units, exact form or rounding matter in this topic.

  10. Write one exam-style short question on Data collection and sampling and solve it.

Part B

Long-answer questions

  1. Design a sampling plan to estimate how students travel to school. Include population, sample size and method.

  2. Compare random sampling and convenience sampling for a canteen survey.

  3. Solve a multi-step problem involving Data collection and sampling and explain every step clearly.

  4. Create a realistic word problem for Data collection and sampling, solve it and interpret the answer.

  5. Compare two methods for a problem in Data collection and sampling and explain which is more efficient.

  6. Write a worked solution that includes a check for reasonableness.

  7. Create a problem with a deliberate trap, then solve it correctly and explain the trap.

  8. Use a diagram, table, graph or equation to model a situation involving Data collection and sampling.

  9. Explain how this topic connects to a previous Year 7 or Year 8 maths skill.

  10. Write a full-mark response to a challenging Data collection and sampling question, including reasoning and final answer.

Part C

Research and understanding task

Research a public survey or poll. Identify the sample, population and possible bias.